Monotone finite difference schemes for nonlinear system with mixed quasi-montonicity (Q1599116)
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scientific article; zbMATH DE number 1749673
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotone finite difference schemes for nonlinear system with mixed quasi-montonicity |
scientific article; zbMATH DE number 1749673 |
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Monotone finite difference schemes for nonlinear system with mixed quasi-montonicity (English)
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19 November 2002
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The authors propose some monotone finite difference schemes for nonlinear systems with mixed quasi-monotonicity. Two monotone iteration processes for the corresponding discrete problems are investigated. They converge to the quasi-solutions of the discrete problems, which are the exact solutions under appropriate conditions. A monotone finite difference scheme on a uniform mesh with fourth-order accuracy is constructed. Numerical results are also given.
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numerical results
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monotone finite difference schemes
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nonlinear systems
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mixed quasi-monotonicity
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monotone iteration
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fourth-order accuracy
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